{"id":19475,"date":"2021-08-30T16:09:32","date_gmt":"2021-08-30T10:39:32","guid":{"rendered":"https:\/\/python-programs.com\/?p=19475"},"modified":"2021-11-22T18:36:30","modified_gmt":"2021-11-22T13:06:30","slug":"python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/","title":{"rendered":"Python Program to find the Sum of Series 1^2+2^2+3^2&#8230;+N^2"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-convert-binary-to-octal-using-while-loop\/\">Python Program to Convert Binary to Octal using While Loop<\/a><br \/>\nGiven a number N the task is to find the sum of the given series<strong> 1^2+2^2+3^2&#8230;+N^2<\/strong>\u00a0for the given number in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number =3<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The sum of the series till the given number { 3 } is : 14<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number =5<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The sum of the series till the given number { 6 } is : 55<\/pre>\n<h2>Program to find the Sum of Series <strong>1^2+2^2+3^2&#8230;+N^2 <\/strong>in Python<\/h2>\n<p>Below are the ways to find the sum of the given series<strong> 1^2+2^2+3^2&#8230;+N^2<\/strong>\u00a0for the given number in Python:<\/p>\n<ul>\n<li><a href=\"#Using_For_Loop_(Static_Input)\">Using For Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop_(User_Input)\">Using For loop (User Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_Loop_(Static_Input)\">Method #1: Using For Loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as static input and store it in a variable.<\/li>\n<li>Take a variable say <strong>resltsum<\/strong> which gives the sum of the given series till N and initialize its value to 0.<\/li>\n<li>Loop from 1 to given number using the For loop.<\/li>\n<li>Inside the For loop, Calculate the value of iterator value * iterator value and store it in a variable.<\/li>\n<li>Add the above variable to the <strong>resltsum<\/strong> .<\/li>\n<li>Print the <strong>resltsum<\/strong> value which is the result of the series till the given Number N.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number N as static input and store it in a variable.\r\ngvnNumbr = 5\r\n# Take a variable say resltsum which gives the sum of\r\n# the given series till N and initialize its value to 0.\r\nresltsum = 0\r\n# Loop from 1 to given number using the For loop.\r\nfor k in range(1, gvnNumbr+1):\r\n    # Inside the For loop,\r\n    # Calculate the value of iterator value * iterator value and store it in a variable.\r\n    squarevalu = k*k\r\n    # Add the above variable to the resltsum\r\n    resltsum = resltsum+squarevalu\r\n\r\n# Print the resltsum value which is the result of the series till the given Number N.\r\nprint(\r\n    'The sum of the series till the given number {', gvnNumbr, '} is :', resltsum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The sum of the series till the given number { 5 } is : 55<\/pre>\n<p><strong>Time Complexity:<\/strong> O(N) where N is the value of the given number (As the loop runs N times)<\/p>\n<h3>Method #2: Using For loop and pow() function (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Take a variable say <strong>resltsum<\/strong> which gives the sum of the given series till N and initialize its value to 0.<\/li>\n<li>Loop from 1 to given number using the For loop.<\/li>\n<li>Inside the For loop, Calculate the value of iterator value * iterator value and store it in a variable.<\/li>\n<li>Add the above variable to the <strong>resltsum<\/strong> .<\/li>\n<li>Print the <strong>resltsum<\/strong> value which is the result of the series till the given Number N.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number N as user input using the int(input()) function\r\n# and store it in a variable.\r\ngvnNumbr = int(input('Enter some random number N = '))\r\n# Take a variable say resltsum which gives the sum of\r\n# the given series till N and initialize its value to 0.\r\nresltsum = 0\r\n# Loop from 1 to given number using the For loop.\r\nfor k in range(1, gvnNumbr+1):\r\n    # Inside the For loop,\r\n    # Calculate the value of iterator value * iterator value and store it in a variable.\r\n    squarevalu = k*k\r\n    # Add the above variable to the resltsum\r\n    resltsum = resltsum+squarevalu\r\n\r\n# Print the resltsum value which is the result of the series till the given Number N.\r\nprint(\r\n    'The sum of the series till the given number {', gvnNumbr, '} is :', resltsum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Enter some random number N = 3\r\nThe sum of the series till the given number { 3 } is : 14<\/pre>\n<p><strong>Time Complexity:<\/strong> O(N) where N is the value of the given number (As the loop runs N times)<\/p>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #3: Using Mathematical Formula (Static Input)<\/h3>\n<p>We can calculate the sum of the above series directly by using the mathematical formula :<\/p>\n<blockquote><p>(n * ( n + 1 ) *( 2 * n +1) ) \/ 6<\/p><\/blockquote>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as static input and store it in a variable.<\/li>\n<li>Calculate the sum of the given series using the above mathematical formula and store it in a variable to say\u00a0<strong>resltsum.<\/strong><\/li>\n<li>Print the <strong>resltsum<\/strong> value which is the result of the series till the given Number N.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number N as static input and store it in a variable.\r\ngvnNumbr = 5\r\n# Calculate the sum of the given series using the above mathematical formula\r\n# and store it in a variable to say\u00a0resltsum\r\nresltsum = (gvnNumbr*(gvnNumbr+1)*((2*gvnNumbr)+1))\/\/6\r\n\r\n# Print the resltsum value which is the result of the series till the given Number N.\r\nprint(\r\n    'The sum of the series till the given number {', gvnNumbr, '} is :', resltsum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The sum of the series till the given number { 5 } is : 55<\/pre>\n<p><strong>Time Complexity:<\/strong> O(1)<\/p>\n<h3>Method #4: Using For loop and ** operator (User Input)<\/h3>\n<p>We can calculate the sum of the above series directly by using the mathematical formula :<\/p>\n<blockquote><p>(n * ( n + 1 ) *( 2 * n +1) ) \/ 6<\/p><\/blockquote>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Calculate the sum of the given series using the above mathematical formula and store it in a variable to say\u00a0<strong>resltsum.<\/strong><\/li>\n<li>Print the <strong>resltsum<\/strong> value which is the result of the series till the given Number N.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number N as user input using the int(input()) function\r\n# and store it in a variable.\r\ngvnNumbr = int(input('Enter some random number N = '))\r\n# Calculate the sum of the given series using the above mathematical formula\r\n# and store it in a variable to say\u00a0resltsum\r\nresltsum = (gvnNumbr*(gvnNumbr+1)*((2*gvnNumbr)+1))\/\/6\r\n\r\n# Print the resltsum value which is the result of the series till the given Number N.\r\nprint(\r\n    'The sum of the series till the given number {', gvnNumbr, '} is :', resltsum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number N = 8\r\nThe sum of the series till the given number { 8 } is : 204<\/pre>\n<p><strong>Time Complexity:<\/strong> O(1)<\/p>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-the-natural-numbers-summation-pattern\/\">Python Program to Print the Natural Numbers Summation Pattern<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/\">Python Program to Find the Sum of the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/wp-admin\/post.php?post=9241&amp;action=edit\">Python Program to Find the Sum of the Series: 1 + x^2\/2 + x^3\/3 + \u2026 x^n\/n<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-nth-iteration-of-lucas-sequence\/\">Python Program to Print nth Iteration of Lucas Sequence<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-leonardo-number-series\/\">Python Program for Leonardo Number Series<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Convert Binary to Octal using While Loop Given a number N the task is to find the sum of the given series 1^2+2^2+3^2&#8230;+N^2\u00a0for the given number in Python. Examples: Example1: Input: Given Number =3 Output: The sum of the series till the given number { &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/\"> <span class=\"screen-reader-text\">Python Program to find the Sum of Series 1^2+2^2+3^2&#8230;+N^2<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":19508,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to find the Sum of Series 1^2+2^2+3^2...+N^2 - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to find the Sum of Series 1^2+2^2+3^2...+N^2 - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Convert Binary to Octal using While Loop Given a number N the task is to find the sum of the given series 1^2+2^2+3^2&#8230;+N^2\u00a0for the given number in Python. 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Examples: Example1: Input: Given Number =3 Output: The sum of the series till the given number { &hellip; Python Program to find the Sum of Series 1^2+2^2+3^2&#8230;+N^2 Read More &raquo;","og_url":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/","og_site_name":"Python Programs","article_publisher":"https:\/\/www.facebook.com\/btechgeeks","article_published_time":"2021-08-30T10:39:32+00:00","article_modified_time":"2021-11-22T13:06:30+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/08\/Program-to-find-the-Sum-of-Series-1^22^23^2...N^2.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@btech_geeks","twitter_site":"@btech_geeks","twitter_misc":{"Written by":"Vikram Chiluka","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/python-programs.com\/#organization","name":"BTech Geeks","url":"https:\/\/python-programs.com\/","sameAs":["https:\/\/www.instagram.com\/btechgeeks\/","https:\/\/www.linkedin.com\/in\/btechgeeks","https:\/\/in.pinterest.com\/btechgeek\/","https:\/\/www.youtube.com\/channel\/UC9MlCqdJ3lKqz2p5114SDIg","https:\/\/www.facebook.com\/btechgeeks","https:\/\/twitter.com\/btech_geeks"],"logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","width":350,"height":70,"caption":"BTech Geeks"},"image":{"@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/"}},{"@type":"WebSite","@id":"https:\/\/python-programs.com\/#website","url":"https:\/\/python-programs.com\/","name":"Python Programs","description":"Python Programs with Examples, How To Guides on Python","publisher":{"@id":"https:\/\/python-programs.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/python-programs.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/#primaryimage","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/08\/Program-to-find-the-Sum-of-Series-1^22^23^2...N^2.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/08\/Program-to-find-the-Sum-of-Series-1^22^23^2...N^2.png","width":1280,"height":720,"caption":"Program to find the Sum of Series 1^2+2^2+3^2...+N^2"},{"@type":"WebPage","@id":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/#webpage","url":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-2-2-2-3-2-n-2\/","name":"Python Program to find the Sum of Series 1^2+2^2+3^2...+N^2 - 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